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15 June, 08:05

An original sample of K-40 has a mass of 25.00 grams. After 3.9 m 109 years, 3.125 grams of the original sample remains unchanged. What is the half-life of K-40?

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  1. 15 June, 11:47
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    An original sample of K-40 has a mass of 25.00 grams. After 3.9 m 109 years, 3.125 grams of the original sample remains unchanged. What is the half-life of K-40?

    First step is to determine the remaining decimal amount.

    3.125 grams / 25.00 grams = 0.125

    Second step is to determine the number of half lives.

    (1/2) ^n = 0.125

    N log (1/2) = log 0.125

    N = 3 years
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